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13585252044 = 22371316977331
BaseRepresentation
bin11001010011011111…
…00111111011001100
31022001210001022100010
430221233213323030
5210310311031134
610124015033220
7660440510550
oct145157477314
938053038303
1013585252044
11584157aa31
12277180b810
1313867058a0
1492c393860
15547a09ce9
hex329be7ecc

13585252044 has 96 divisors (see below), whose sum is σ = 39042372096. Its totient is φ = 3580323840.

The previous prime is 13585252033. The next prime is 13585252061. The reversal of 13585252044 is 44025258531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13585251993 and 13585252011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849459 + ... + 1856789.

It is an arithmetic number, because the mean of its divisors is an integer number (406691376).

Almost surely, 213585252044 is an apocalyptic number.

13585252044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13585252044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19521186048).

13585252044 is an abundant number, since it is smaller than the sum of its proper divisors (25457120052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13585252044 is a wasteful number, since it uses less digits than its factorization.

13585252044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 13585252044 in words is "thirteen billion, five hundred eighty-five million, two hundred fifty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1697 3394 5091 6788 7331 10182 11879 14662 20364 21993 22061 23758 29324 35637 43986 44122 47516 51317 66183 71274 87972 88244 95303 102634 132366 142548 153951 154427 190606 205268 264732 285909 307902 308854 381212 463281 571818 615804 617708 667121 926562 1143636 1334242 1853124 2001363 2668484 4002726 8005452 12440707 24881414 37322121 49762828 74644242 87084949 149288484 161729191 174169898 261254847 323458382 348339796 485187573 522509694 646916764 970375146 1045019388 1132104337 1940750292 2264208674 3396313011 4528417348 6792626022 13585252044